%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM651^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n018.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:40:12 AM UTC 2026 % Result : Theorem 0.36s 0.58s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : NUM651^1 : TPTP v9.2.1. Released v3.7.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.35 % Computer : n018.cluster.edu % 0.15/0.35 % Model : x86_64 x86_64 % 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.35 % Memory : 8042.1875MB % 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.35 % CPULimit : 300 % 0.15/0.35 % WCLimit : 300 % 0.15/0.35 % DateTime : Tue Jun 2 11:43:20 EDT 2026 % 0.15/0.35 % CPUTime : % 0.25/0.50 %----Proving TH0 % 0.36/0.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.58 % SZS status Theorem % 0.36/0.58 % SZS output start Proof % 0.36/0.58 ( % 0.36/0.58 (declare-sort tptp.nat 0) % 0.36/0.58 (declare-const tptp.x tptp.nat) % 0.36/0.58 (declare-const tptp.y tptp.nat) % 0.36/0.58 (declare-const tptp.pl (-> tptp.nat tptp.nat tptp.nat)) % 0.36/0.58 (define @t1 () (@var "Xy" tptp.nat)) % 0.36/0.58 (define @t2 () (@var "Xx" tptp.nat)) % 0.36/0.58 (define @t3 () (_ tptp.pl @t2)) % 0.36/0.58 (define @t4 () (_ @t3 @t1)) % 0.36/0.58 (define @t5 () (= @t1 @t4)) % 0.36/0.58 (define @t6 () (not @t5)) % 0.36/0.58 (define @t7 () (@list @t2 @t1)) % 0.36/0.58 (define @t8 () (forall @t7 @t6)) % 0.36/0.58 (define @t9 () (_ tptp.pl @t1)) % 0.36/0.58 (define @t10 () (_ @t9 @t2)) % 0.36/0.58 (define @t11 () (= @t4 @t10)) % 0.36/0.58 (define @t12 () (forall @t7 @t11)) % 0.36/0.58 (define @t13 () (@var "Xa" Bool)) % 0.36/0.58 (define @t14 () (@var "Xz" tptp.nat)) % 0.36/0.58 (define @t15 () (_ @t9 @t14)) % 0.36/0.58 (define @t16 () (_ @t3 @t15)) % 0.36/0.58 (define @t17 () (_ (_ tptp.pl @t4) @t14)) % 0.36/0.58 (define @t18 () (= @t17 @t16)) % 0.36/0.58 (define @t19 () (forall (@list @t2 @t1 @t14) @t18)) % 0.36/0.58 (define @t20 () (= tptp.x tptp.y)) % 0.36/0.58 (define @t21 () (not @t20)) % 0.36/0.58 (define @t22 () (@var "Xx_0" tptp.nat)) % 0.36/0.58 (define @t23 () (_ (_ tptp.pl tptp.x) @t22)) % 0.36/0.58 (define @t24 () (= tptp.y @t23)) % 0.36/0.58 (define @t25 () (not @t24)) % 0.36/0.58 (define @t26 () (@list @t22)) % 0.36/0.58 (define @t27 () (forall @t26 @t25)) % 0.36/0.58 (define @t28 () (not @t27)) % 0.36/0.58 (define @t29 () (=> @t28 @t21)) % 0.36/0.58 (define @t30 () (not @t29)) % 0.36/0.58 (define @t31 () (_ (_ tptp.pl tptp.y) @t22)) % 0.36/0.58 (define @t32 () (= tptp.x @t31)) % 0.36/0.58 (define @t33 () (not @t32)) % 0.36/0.58 (define @t34 () (forall @t26 @t33)) % 0.36/0.58 (define @t35 () (not @t34)) % 0.36/0.58 (define @t36 () (=> @t35 (not @t28))) % 0.36/0.58 (define @t37 () (=> @t36 @t30)) % 0.36/0.58 (define @t38 () (=> @t20 (not @t35))) % 0.36/0.58 (define @t39 () (=> @t38 (not (not @t37)))) % 0.36/0.58 (define @t40 () (tptp.pl @t2 @t1)) % 0.36/0.58 (define @t41 () (tptp.pl @t1 @t2)) % 0.36/0.58 (define @t42 () (tptp.pl tptp.x @t22)) % 0.36/0.58 (define @t43 () (forall @t26 (not (= tptp.y @t42)))) % 0.36/0.58 (define @t44 () (@quantifiers_skolemize @t43 0)) % 0.36/0.58 (define @t45 () (tptp.pl tptp.y @t22)) % 0.36/0.58 (define @t46 () (forall @t26 (not (= tptp.x @t45)))) % 0.36/0.58 (define @t47 () (@quantifiers_skolemize @t46 0)) % 0.36/0.58 (define @t48 () (tptp.pl @t47 @t44)) % 0.36/0.58 (define @t49 () (tptp.pl @t1 @t14)) % 0.36/0.58 (define @t50 () (tptp.pl @t2 @t49)) % 0.36/0.58 (define @t51 () (tptp.pl @t40 @t14)) % 0.36/0.58 (define @t52 () (tptp.pl @t47 tptp.y)) % 0.36/0.58 (define @t53 () (tptp.pl tptp.y @t47)) % 0.36/0.58 (define @t54 () (= tptp.x @t53)) % 0.36/0.58 (define @t55 () (= @t53 @t52)) % 0.36/0.58 (define @t56 () (= @t52 (tptp.pl @t47 @t52))) % 0.36/0.58 (define @t57 () (and @t20 @t54 @t55)) % 0.36/0.58 (define @t58 () (not @t46)) % 0.36/0.58 (define @t59 () (not (not @t54))) % 0.36/0.58 (define @t60 () (=> @t20 @t46)) % 0.36/0.58 (define @t61 () (=> @t58 @t43)) % 0.36/0.58 (define @t62 () (not @t43)) % 0.36/0.58 (define @t63 () (=> @t62 @t21)) % 0.36/0.58 (define @t64 () (not @t63)) % 0.36/0.58 (define @t65 () (=> @t61 @t64)) % 0.36/0.58 (define @t66 () (not @t61)) % 0.36/0.58 (define @t67 () (tptp.pl tptp.x @t44)) % 0.36/0.58 (define @t68 () (= tptp.y @t67)) % 0.36/0.58 (define @t69 () (not (not @t68))) % 0.36/0.58 (define @t70 () (= tptp.x (tptp.pl tptp.y @t44))) % 0.36/0.58 (define @t71 () (and @t20 @t68)) % 0.36/0.58 (define @t72 () (@list true)) % 0.36/0.58 (define @t73 () (@list @t20)) % 0.36/0.58 (define @t74 () (@list false false)) % 0.36/0.58 (define @t75 () (@list @t61)) % 0.36/0.58 (define @t76 () (tptp.pl tptp.y @t48)) % 0.36/0.58 (define @t77 () (= (tptp.pl @t53 @t44) @t76)) % 0.36/0.58 (define @t78 () (tptp.pl @t48 tptp.y)) % 0.36/0.58 (define @t79 () (= @t76 @t78)) % 0.36/0.58 (define @t80 () (= @t78 (tptp.pl @t48 @t78))) % 0.36/0.58 (define @t81 () (and @t54 @t68 @t77 @t79)) % 0.36/0.58 (define @t82 () (forall @t7 (not (= @t1 @t40)))) % 0.36/0.58 (assume @p1 @t8) % 0.36/0.58 (assume @p2 @t12) % 0.36/0.58 (assume @p3 (forall (@list @t13) (=> (not (not @t13)) @t13))) % 0.36/0.58 (assume @p4 @t19) % 0.36/0.58 (assume @p5 (not (not @t39))) % 0.36/0.58 (assume @p6 true) % 0.36/0.58 (step @p7 :rule refl :args (@t40)) % 0.36/0.58 (step @p8 :rule refl :args (@t4)) % 0.36/0.58 (step @p9 :rule cong :premises (@p8 @p7) :args ((= @t4 @t40))) % 0.36/0.58 (step @p10 :rule symm :premises (@p9)) % 0.36/0.58 (step @p11 :rule eq_resolve :premises (@p8 @p10)) % 0.36/0.58 (step @p12 :rule refl :args (@t1)) % 0.36/0.58 (step @p13 :rule cong :premises (@p12 @p11) :args (@t5)) % 0.36/0.58 (step @p14 :rule cong :premises (@p13) :args (@t6)) % 0.36/0.58 (step @p15 :rule cong :premises (@p14) :args (@t8)) % 0.36/0.58 (step @p16 :rule eq_resolve :premises (@p1 @p15)) % 0.36/0.58 (step @p17 :rule refl :args (@t41)) % 0.36/0.58 (step @p18 :rule refl :args (@t10)) % 0.36/0.58 (step @p19 :rule cong :premises (@p18 @p17) :args ((= @t10 @t41))) % 0.36/0.58 (step @p20 :rule symm :premises (@p19)) % 0.36/0.58 (step @p21 :rule eq_resolve :premises (@p18 @p20)) % 0.36/0.58 (step @p22 :rule cong :premises (@p11 @p21) :args (@t11)) % 0.36/0.58 (step @p23 :rule cong :premises (@p22) :args (@t12)) % 0.36/0.58 (step @p24 :rule eq_resolve :premises (@p2 @p23)) % 0.36/0.58 (step @p25 :rule instantiate :premises (@p24) :args ((@list tptp.y @t48))) % 0.36/0.58 (step @p26 :rule refl :args ((tptp.pl @t2 @t15))) % 0.36/0.58 (step @p27 :rule refl :args (@t49)) % 0.36/0.58 (step @p28 :rule refl :args (@t2)) % 0.36/0.58 (step @p29 :rule cong :premises (@p28 @p27) :args (@t50)) % 0.36/0.58 (step @p30 :rule trans :premises (@p29 @p26)) % 0.36/0.58 (step @p31 :rule refl :args (@t3)) % 0.36/0.58 (step @p32 :rule ho_cong :premises (@p31 @p27)) % 0.36/0.58 (step @p33 :rule cong :premises (@p32 @p30) :args ((= (_ @t3 @t49) @t50))) % 0.36/0.58 (step @p34 :rule symm :premises (@p33)) % 0.36/0.58 (step @p35 :rule refl :args (@t16)) % 0.36/0.58 (step @p36 :rule eq_resolve :premises (@p35 @p34)) % 0.36/0.58 (step @p37 :rule refl :args (@t15)) % 0.36/0.58 (step @p38 :rule cong :premises (@p37 @p27) :args ((= @t15 @t49))) % 0.36/0.58 (step @p39 :rule symm :premises (@p38)) % 0.36/0.58 (step @p40 :rule eq_resolve :premises (@p37 @p39)) % 0.36/0.58 (step @p41 :rule ho_cong :premises (@p31 @p40)) % 0.36/0.58 (step @p42 :rule trans :premises (@p41 @p36)) % 0.36/0.58 (step @p43 :rule refl :args ((tptp.pl @t4 @t14))) % 0.36/0.58 (step @p44 :rule refl :args (@t14)) % 0.36/0.58 (step @p45 :rule cong :premises (@p7 @p44) :args (@t51)) % 0.36/0.58 (step @p46 :rule trans :premises (@p45 @p43)) % 0.36/0.58 (step @p47 :rule refl :args (tptp.pl)) % 0.36/0.58 (step @p48 :rule ho_cong :premises (@p47 @p7)) % 0.36/0.58 (step @p49 :rule ho_cong :premises (@p48 @p44)) % 0.36/0.58 (step @p50 :rule cong :premises (@p49 @p46) :args ((= (_ (_ tptp.pl @t40) @t14) @t51))) % 0.36/0.58 (step @p51 :rule symm :premises (@p50)) % 0.36/0.58 (step @p52 :rule refl :args (@t17)) % 0.36/0.58 (step @p53 :rule eq_resolve :premises (@p52 @p51)) % 0.36/0.58 (step @p54 :rule ho_cong :premises (@p47 @p11)) % 0.36/0.58 (step @p55 :rule ho_cong :premises (@p54 @p44)) % 0.36/0.58 (step @p56 :rule trans :premises (@p55 @p53)) % 0.36/0.58 (step @p57 :rule cong :premises (@p56 @p42) :args (@t18)) % 0.36/0.58 (step @p58 :rule cong :premises (@p57) :args (@t19)) % 0.36/0.58 (step @p59 :rule eq_resolve :premises (@p4 @p58)) % 0.36/0.58 (step @p60 :rule instantiate :premises (@p59) :args ((@list tptp.y @t47 @t44))) % 0.36/0.58 (step @p61 :rule instantiate :premises (@p24) :args ((@list tptp.y @t47))) % 0.36/0.58 (step @p62 :rule instantiate :premises (@p16) :args ((@list @t47 @t52))) % 0.36/0.58 (assume-push @p233 @t20) % 0.36/0.58 (assume-push @p234 @t54) % 0.36/0.58 (assume-push @p235 @t55) % 0.36/0.58 (assume-push @p236 @t55) % 0.36/0.58 (assume-push @p237 @t54) % 0.36/0.58 (assume-push @p238 @t20) % 0.36/0.58 (step @p69 :rule symm :premises (@p233)) % 0.36/0.58 (step @p70 :rule trans :premises (@p69 @p234 @p61)) % 0.36/0.58 (step @p71 :rule refl :args (@t47)) % 0.36/0.58 (step @p72 :rule cong :premises (@p71 @p70) :args (@t52)) % 0.36/0.58 (step-pop @p239 :rule scope :premises (@p72)) % 0.36/0.58 (step-pop @p240 :rule scope :premises (@p239)) % 0.36/0.58 (step-pop @p241 :rule scope :premises (@p240)) % 0.36/0.58 (step @p73 :rule process_scope :premises (@p241) :args (@t56)) % 0.36/0.58 (step @p77 :rule and_intro :premises (@p61 @p234 @p233)) % 0.36/0.58 (step @p78 :rule modus_ponens :premises (@p77 @p73)) % 0.36/0.58 (step-pop @p242 :rule scope :premises (@p78)) % 0.36/0.58 (step-pop @p243 :rule scope :premises (@p242)) % 0.36/0.58 (step-pop @p244 :rule scope :premises (@p243)) % 0.36/0.58 (step @p79 :rule process_scope :premises (@p244) :args (@t56)) % 0.36/0.58 (step @p83 :rule implies_elim :premises (@p79)) % 0.36/0.58 (step @p84 :rule cnf_and_neg :args (@t57)) % 0.36/0.58 (step @p85 :rule resolution :premises (@p84 @p83) :args (true @t57)) % 0.36/0.58 (step @p86 :rule refl :args (@t54)) % 0.36/0.58 (step @p87 :rule bool-double-not-elim :args (@t46)) % 0.36/0.58 (step @p88 :rule nary_cong :premises (@p87 @p86) :args ((or (not @t58) @t54))) % 0.36/0.58 (step @p89 :rule bool-double-not-elim :args (@t54)) % 0.36/0.58 (step @p90 :rule refl :args (@t58)) % 0.36/0.58 (step @p91 :rule cong :premises (@p90 @p89) :args ((=> @t58 @t59))) % 0.36/0.58 (assume-push @p245 @t58) % 0.36/0.58 (step @p93 :rule skolemize :premises (@p245)) % 0.36/0.58 (step-pop @p246 :rule scope :premises (@p93)) % 0.36/0.58 (step @p94 :rule process_scope :premises (@p246) :args (@t59)) % 0.36/0.58 (step @p96 :rule eq_resolve :premises (@p94 @p91)) % 0.36/0.58 (step @p97 :rule implies_elim :premises (@p96)) % 0.36/0.58 (step @p98 :rule eq_resolve :premises (@p97 @p88)) % 0.36/0.58 (step @p99 :rule cnf_implies_neg2 :args (@t60)) % 0.36/0.58 (step @p100 :rule cnf_implies_neg1 :args (@t61)) % 0.36/0.58 (step @p101 :rule reordering :premises (@p100) :args ((or @t58 @t61))) % 0.36/0.58 (step @p102 :rule refl :args (@t21)) % 0.36/0.58 (step @p103 :rule refl :args (@t42)) % 0.36/0.58 (step @p104 :rule refl :args (@t23)) % 0.36/0.58 (step @p105 :rule cong :premises (@p104 @p103) :args ((= @t23 @t42))) % 0.36/0.58 (step @p106 :rule symm :premises (@p105)) % 0.36/0.58 (step @p107 :rule eq_resolve :premises (@p104 @p106)) % 0.36/0.58 (step @p108 :rule refl :args (tptp.y)) % 0.36/0.58 (step @p109 :rule cong :premises (@p108 @p107) :args (@t24)) % 0.36/0.58 (step @p110 :rule cong :premises (@p109) :args (@t25)) % 0.36/0.58 (step @p111 :rule cong :premises (@p110) :args (@t27)) % 0.36/0.58 (step @p112 :rule cong :premises (@p111) :args (@t28)) % 0.36/0.58 (step @p113 :rule cong :premises (@p112 @p102) :args (@t29)) % 0.36/0.58 (step @p114 :rule cong :premises (@p113) :args (@t30)) % 0.36/0.58 (step @p115 :rule bool-double-not-elim :args (@t27)) % 0.36/0.58 (step @p116 :rule trans :premises (@p115 @p111)) % 0.36/0.58 (step @p117 :rule refl :args (@t45)) % 0.36/0.58 (step @p118 :rule refl :args (@t31)) % 0.36/0.58 (step @p119 :rule cong :premises (@p118 @p117) :args ((= @t31 @t45))) % 0.36/0.58 (step @p120 :rule symm :premises (@p119)) % 0.36/0.58 (step @p121 :rule eq_resolve :premises (@p118 @p120)) % 0.36/0.58 (step @p122 :rule refl :args (tptp.x)) % 0.36/0.58 (step @p123 :rule cong :premises (@p122 @p121) :args (@t32)) % 0.36/0.58 (step @p124 :rule cong :premises (@p123) :args (@t33)) % 0.36/0.58 (step @p125 :rule cong :premises (@p124) :args (@t34)) % 0.36/0.58 (step @p126 :rule cong :premises (@p125) :args (@t35)) % 0.36/0.58 (step @p127 :rule cong :premises (@p126 @p116) :args (@t36)) % 0.36/0.58 (step @p128 :rule cong :premises (@p127 @p114) :args (@t37)) % 0.36/0.58 (step @p129 :rule bool-double-not-elim :args (@t37)) % 0.36/0.58 (step @p130 :rule trans :premises (@p129 @p128)) % 0.36/0.58 (step @p131 :rule bool-double-not-elim :args (@t34)) % 0.36/0.58 (step @p132 :rule trans :premises (@p131 @p125)) % 0.36/0.58 (step @p133 :rule refl :args (@t20)) % 0.36/0.58 (step @p134 :rule cong :premises (@p133 @p132) :args (@t38)) % 0.36/0.58 (step @p135 :rule cong :premises (@p134 @p130) :args (@t39)) % 0.36/0.58 (step @p136 :rule bool-double-not-elim :args (@t39)) % 0.36/0.58 (step @p137 :rule trans :premises (@p136 @p135)) % 0.36/0.58 (step @p138 :rule eq_resolve :premises (@p5 @p137)) % 0.36/0.58 (step @p139 :rule implies_elim :premises (@p138)) % 0.36/0.58 (step @p140 :rule reordering :premises (@p139) :args ((or @t65 (not @t60)))) % 0.36/0.58 (step @p141 :rule cnf_implies_pos :args (@t65)) % 0.36/0.58 (step @p142 :rule reordering :premises (@p141) :args ((or @t64 @t66 (not @t65)))) % 0.36/0.58 (step @p143 :rule cnf_implies_neg1 :args (@t63)) % 0.36/0.58 (step @p144 :rule reordering :premises (@p143) :args ((or @t62 @t63))) % 0.36/0.58 (step @p145 :rule refl :args (@t68)) % 0.36/0.58 (step @p146 :rule bool-double-not-elim :args (@t43)) % 0.36/0.58 (step @p147 :rule nary_cong :premises (@p146 @p145) :args ((or (not @t62) @t68))) % 0.36/0.58 (step @p148 :rule bool-double-not-elim :args (@t68)) % 0.36/0.58 (step @p149 :rule refl :args (@t62)) % 0.36/0.58 (step @p150 :rule cong :premises (@p149 @p148) :args ((=> @t62 @t69))) % 0.36/0.58 (assume-push @p247 @t62) % 0.36/0.58 (step @p152 :rule skolemize :premises (@p247)) % 0.36/0.58 (step-pop @p248 :rule scope :premises (@p152)) % 0.36/0.58 (step @p153 :rule process_scope :premises (@p248) :args (@t69)) % 0.36/0.58 (step @p155 :rule eq_resolve :premises (@p153 @p150)) % 0.36/0.58 (step @p156 :rule implies_elim :premises (@p155)) % 0.36/0.58 (step @p157 :rule eq_resolve :premises (@p156 @p147)) % 0.36/0.58 (assume-push @p249 @t20) % 0.36/0.58 (assume-push @p250 @t68) % 0.36/0.58 (assume-push @p251 @t20) % 0.36/0.58 (assume-push @p252 @t68) % 0.36/0.58 (step @p162 :rule refl :args (@t44)) % 0.36/0.58 (step @p163 :rule cong :premises (@p249 @p162) :args (@t67)) % 0.36/0.58 (step @p164 :rule trans :premises (@p249 @p250 @p163)) % 0.36/0.58 (step-pop @p253 :rule scope :premises (@p164)) % 0.36/0.58 (step-pop @p254 :rule scope :premises (@p253)) % 0.36/0.58 (step @p165 :rule process_scope :premises (@p254) :args (@t70)) % 0.36/0.58 (step @p168 :rule and_intro :premises (@p249 @p250)) % 0.36/0.58 (step @p169 :rule modus_ponens :premises (@p168 @p165)) % 0.36/0.58 (step-pop @p255 :rule scope :premises (@p169)) % 0.36/0.58 (step-pop @p256 :rule scope :premises (@p255)) % 0.36/0.58 (step @p170 :rule process_scope :premises (@p256) :args (@t70)) % 0.36/0.58 (step @p173 :rule implies_elim :premises (@p170)) % 0.36/0.58 (step @p174 :rule cnf_and_neg :args (@t71)) % 0.36/0.58 (step @p175 :rule resolution :premises (@p174 @p173) :args (true @t71)) % 0.36/0.58 (assume-push @p257 @t46) % 0.36/0.58 (step @p177 :rule instantiate :premises (@p257) :args ((@list @t44))) % 0.36/0.58 (step-pop @p258 :rule scope :premises (@p177)) % 0.36/0.58 (step @p178 :rule process_scope :premises (@p258) :args ((not @t70))) % 0.36/0.58 (step @p180 :rule implies_elim :premises (@p178)) % 0.36/0.58 (step @p181 :rule chain_m_resolution :premises (@p180 @p175 @p157 @p144 @p142 @p140 @p101 @p99 @p98 @p85 @p62 @p61) :args (@t21 (@list false false true true false false false false true true false) (@list @t70 @t68 @t43 @t63 @t65 @t61 @t60 @t46 @t54 @t56 @t55))) % 0.36/0.59 (step @p182 :rule cnf_implies_neg1 :args (@t60)) % 0.36/0.59 (step @p183 :rule reordering :premises (@p182) :args ((or @t20 @t60))) % 0.36/0.59 (step @p184 :rule chain_m_resolution :premises (@p183 @p181) :args (@t60 @t72 @t73)) % 0.36/0.59 (step @p185 :rule chain_m_resolution :premises (@p140 @p184) :args (@t65 (@list false) (@list @t60))) % 0.36/0.59 (step @p186 :rule bool-double-not-elim :args (@t20)) % 0.36/0.59 (step @p187 :rule refl :args (@t63)) % 0.36/0.59 (step @p188 :rule nary_cong :premises (@p187 @p186) :args ((or @t63 (not @t21)))) % 0.36/0.59 (step @p189 :rule cnf_implies_neg2 :args (@t63)) % 0.36/0.59 (step @p190 :rule eq_resolve :premises (@p189 @p188)) % 0.36/0.59 (step @p191 :rule reordering :premises (@p190) :args ((or @t20 @t63))) % 0.36/0.59 (step @p192 :rule chain_m_resolution :premises (@p191 @p181) :args (@t63 @t72 @t73)) % 0.36/0.59 (step @p193 :rule chain_m_resolution :premises (@p142 @p192 @p185) :args (@t66 @t74 (@list @t63 @t65))) % 0.36/0.59 (step @p194 :rule cnf_implies_neg2 :args (@t61)) % 0.36/0.59 (step @p195 :rule chain_m_resolution :premises (@p194 @p193) :args (@t62 @t72 @t75)) % 0.36/0.59 (step @p196 :rule chain_m_resolution :premises (@p157 @p195) :args (@t68 @t72 (@list @t43))) % 0.36/0.59 (step @p197 :rule chain_m_resolution :premises (@p101 @p193) :args (@t58 @t72 @t75)) % 0.36/0.59 (step @p198 :rule chain_m_resolution :premises (@p98 @p197) :args (@t54 @t72 (@list @t46))) % 0.36/0.59 (assume-push @p259 @t54) % 0.36/0.59 (assume-push @p260 @t68) % 0.36/0.59 (assume-push @p261 @t77) % 0.36/0.59 (assume-push @p262 @t79) % 0.36/0.59 (assume-push @p263 @t79) % 0.36/0.59 (assume-push @p264 @t77) % 0.36/0.59 (assume-push @p265 @t54) % 0.36/0.59 (assume-push @p266 @t68) % 0.36/0.59 (step @p162 :rule refl :args (@t44)) % 0.36/0.59 (step @p207 :rule cong :premises (@p259 @p162) :args (@t67)) % 0.36/0.59 (step @p208 :rule trans :premises (@p260 @p207 @p60 @p25)) % 0.36/0.59 (step @p209 :rule refl :args (@t48)) % 0.36/0.59 (step @p210 :rule cong :premises (@p209 @p208) :args (@t78)) % 0.36/0.59 (step-pop @p267 :rule scope :premises (@p210)) % 0.36/0.59 (step-pop @p268 :rule scope :premises (@p267)) % 0.36/0.59 (step-pop @p269 :rule scope :premises (@p268)) % 0.36/0.59 (step-pop @p270 :rule scope :premises (@p269)) % 0.36/0.59 (step @p211 :rule process_scope :premises (@p270) :args (@t80)) % 0.36/0.59 (step @p216 :rule and_intro :premises (@p25 @p60 @p259 @p260)) % 0.36/0.59 (step @p217 :rule modus_ponens :premises (@p216 @p211)) % 0.36/0.59 (step-pop @p271 :rule scope :premises (@p217)) % 0.36/0.59 (step-pop @p272 :rule scope :premises (@p271)) % 0.36/0.59 (step-pop @p273 :rule scope :premises (@p272)) % 0.36/0.59 (step-pop @p274 :rule scope :premises (@p273)) % 0.36/0.59 (step @p218 :rule process_scope :premises (@p274) :args (@t80)) % 0.36/0.59 (step @p223 :rule implies_elim :premises (@p218)) % 0.36/0.59 (step @p224 :rule cnf_and_neg :args (@t81)) % 0.36/0.59 (step @p225 :rule resolution :premises (@p224 @p223) :args (true @t81)) % 0.36/0.59 (step @p226 :rule chain_m_resolution :premises (@p225 @p198 @p196 @p60 @p25) :args (@t80 (@list false false false false) (@list @t54 @t68 @t77 @t79))) % 0.36/0.59 (assume-push @p275 @t82) % 0.36/0.59 (step @p228 :rule instantiate :premises (@p16) :args ((@list @t48 @t78))) % 0.36/0.59 (step-pop @p276 :rule scope :premises (@p228)) % 0.36/0.59 (step @p229 :rule process_scope :premises (@p276) :args ((not @t80))) % 0.36/0.59 (step @p231 :rule implies_elim :premises (@p229)) % 0.36/0.59 (step @p232 false :rule chain_m_resolution :premises (@p231 @p226 @p16) :args (false @t74 (@list @t80 @t82))) % 0.36/0.59 ) % 0.36/0.59 % SZS output end Proof % 0.36/0.59 % cvc5 exiting %------------------------------------------------------------------------------